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Cauchy-Davenport theorem in group extensions
Let A and B be nonempty subsets of a finite group G in which the order of the smallest nontrivial subgroup is not smaller than d=|A|+|B|-1. Then the product set AB has at least d elements. This extends a classical theorem of Cauchy and Davenport to noncommutative groups. We also generalize Vosper�...
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| Lenguaje: | eng |
| Publicado: |
2005
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| Acceso en línea: | http://cds.cern.ch/record/904813 |